Modified mean field models of normal grain growth

Jeppsson, Johan; Ågren, John; Hillert, Mats

doi:10.1016/j.actamat.2008.06.034

Cited by 12 publications

(6 citation statements)

References 17 publications

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“…Grain growth theories usually assume that, at any instance in time, there is a constant mean field chemical potential in the microstructure and that local deviations from this mean value drive grain growth. [17,18] For example, in Hillert's [17,18] classic grain growth theory, there is a critical radius (rcr) above which grains grow and below which they shrink; the time rate of change of a grain with radius r is then proportional to the difference between the chemical potential of a grain with radius and r and one with radius rcr, which has the mean field chemical potential. In Hillert's formulation, the chemical potential is not dependent the grain boundary crystallography.…”

Section: Introductionmentioning

confidence: 99%

The five-parameter grain boundary curvature distribution in an austenitic and ferritic steel

et al. 2017

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The distribution of grain boundary curvatures as a function of five independent crystallographic parameters is measured in an austenitic and a ferritic steel. Both local curvatures and integral mean curvatures are measured from three dimensional electron backscattered diffraction data. The method is first validated on ideal shapes. When applied to real microstructures, it is found that the grain boundary mean curvature varies with the boundary crystallography and is more sensitive to the grain boundary plane orientation than to the disorientation. The grain boundaries with the smallest curvatures also have low grain boundary energy and large relative areas. The results also show that the curvature is influenced by the grain size and by the number of nearest neighbors. For austenite, when the number of faces on a grain is equal to the average number of faces of its neighbors, it has zero integral mean curvature.

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Section: Introductionmentioning

confidence: 99%

The five-parameter grain boundary curvature distribution in an austenitic and ferritic steel

et al. 2017

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“…However, the authors assume that in both new problems, only numerical strategies will lead to results. It should be mentioned that recently the evolution equations have been derived without the need to apply the PMD for one-parameter systems [11], where only the use of the total Gibbs energy balance equation was sufficient.…”

Section: Discussion and Outlookmentioning

confidence: 99%

Analysis of non-steady-state distribution functions for grain growth and coarsening

Fischer

Svoboda

Gamsjäger

2009

Philosophical Magazine

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International audienceThe description of non-steady-state grain growth or precipitate coarsening by means of object radius distribution functions with multiple time dependent parameters (distribution concept) seems to be promising. The present paper deals with the simplest case of non-steady-state distribution functions with two parameters – the first one scaling the object radius, the second one determining the shape of the distribution function. The main question concerns the physical basis behind the evolution of these two parameters. The principle of maximum dissipation has proven to be a proper tool to derive the evolution equations. Semi-analytical solutions for the evolving parameters of arbitrary two-parameter distribution functions can be developed. As examples Kirkaldy and Weibull-type distribution functions are investigated. It is shown that the parameters of the Kirkaldy distribution function are not independent, and, thus, the general non-steady-state analysis fails. For a Weibull-type distribution function nearly exact and simple analytical expressions for both parameters are presented and discussed for the grain growth and coarsening cases

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“…It has been proved [11,32] that different postulated kinetic laws for individual grains lead to different steady state distribution functions. Compared to counting the growth rate of every individual grain, it is more convenient and obvious to detect the effect of solute drag on grain growth kinetics from the variation of average grain area with time.…”

Section: Normal Grain Growth With Solute Dragmentioning

confidence: 99%

Phase field simulation of grain growth with grain boundary segregation

Wang

Gao

2010

International Journal of Materials Research

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Phase field simulation of grain growth with grain boundary segregationThe effects of grain boundary segregation and solute drag on grain size distributions were studied by employing the multi-phase-field method. It is shown that for normal grain growth the solute drag effect results in narrow steady state grain size distributions compared with the ideal grain growth. Besides influencing the normal grain growth, the solute drag can also induce abnormal grain growth. In some cases of abnormal grain growth self-similar grain size distributions are found and these distributions can be fitted by the lognormal function, which is consistent with the experimental observations.

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Modified mean field models of normal grain growth

Cited by 12 publications

References 17 publications

The five-parameter grain boundary curvature distribution in an austenitic and ferritic steel

The five-parameter grain boundary curvature distribution in an austenitic and ferritic steel

Analysis of non-steady-state distribution functions for grain growth and coarsening

Phase field simulation of grain growth with grain boundary segregation

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